3520258560 has 960 divisors, whose sum is σ = 15871984128. Its totient is φ = 700710912.

The previous prime is 3520258531. The next prime is 3520258579. The reversal of 3520258560 is 658520253.

It is a happy number.

3520258560 is a `hidden beast` number, since 352 + 0 + 258 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48222684 + ... + 48222756.

Almost surely, 2^3520258560 is an apocalyptic number.

3520258560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3520258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7935992064).

3520258560 is an abundant number, since it is smaller than the sum of its proper divisors (12351725568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3520258560 is a wasteful number, since it uses less digits than its factorization.

3520258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 3520258560 is about 59331.7668707076. The cubic root of 3520258560 is about 1521.2182292786.

The spelling of 3520258560 in words is "three billion, five hundred twenty million, two hundred fifty-eight thousand, five hundred sixty".